In this section, we recall some basic facts about rough paths and rough differential equations. For more details, one can consult the seminal papers [1]}, [2]}, [3]}, but also the monographs [4]}, [5]}, [6]}. Note that an interesting perspective for flow driven by rough differential equations is given by Bailleul in [7]}. We will focus here on the Davie's definition of solutions of rough differential equations driven by (weak)-geometric Hölder \(p\)  rough path, with \(p\ge 2\) .
